The Jacobian Conjecture is a long-standing open problem in algebraic geometry. Though the problem is inherently algebraic, it crops up in fields throughout mathematics including perturbation theory, quantum field theory and combinatorics. This thesis is a unified treatment of the combinatorial approaches toward resolving the conjecture, particularly investigating the work done by Wright and Singer. Along with surveying their contributions, we present new proofs of their theorems and motivate their constructions. We also resolve the Symmetric Cubic Linear case, and present new conjectures whose resolution would prove the Jacobian Conjecture to be true.

While political praise and condemnation of Disney is commonplace in the literature, my research will focus instead on the origination of Disney's design plan for Disneyland and the theoretical and physical connections between key historical figures and the finished product. I will not consider what Disneyland means to the world today---that is a subject many others have covered, some even brilliantly; instead, I will consider what social concepts contributed to the initial design in an attempt to see the underlying values at work in this post-modern utopia. In this thesis, I intend to show that Walt Disney's initial design for Disneyland was influenced by Ebenezer Howard's Garden City concept. In addition to Howard's vision, Disney also incorporated concepts from Frank Lloyd Wright's architecture and Henry Ford's mass market manufacturing theories. I do not intend to claim that these are the only influences on Disney's initial plan for his amusement park, but I will show that the physical layout of the park reflects Howard's Garden City plan, the architecture considers some of Wright's designs, and the way the park is run incorporates some of the ideas of Henry Ford. I have purposely avoided any works that consider the corporate aspects of Disney and the current Disney Corporation. Instead, I have focused my research on the intentions surrounding Disney's initial design plan. My position is that Disney's parks are real, successful, and expanding internationally - not mere fantasy like earlier 19th social reformers whose actual accomplishments are relatively small and have not been not sustainable locally or internationally. Disney realized the importance of a TEMPORARY place rather than a PERMANENT residence. Disney understood the literal definition of utopia to mean "no where" and therefore did not create a utopia that was a real place. Both Howard and Disney sought to offer a utopia. Howard had hopes of revitalizing the social order with his new cities, and Disney hoped to offer the average family a place where they could have fun and enjoy one another in a safe and entertaining environment.

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Mémoire numérisé par la Division de la gestion de documents et des archives de l'Université de Montréal

Denna uppsats behandlar Paulus syn på lagen vilket är ett mycket omdebatterat område inom paulusforskningen. Frågan om Paulus lagsyn är så central för den övergripande paulustolkingen att alla som vill förstå Paulus och hans texter måste bilda sig en uppfattning om detta. Det har skrivits många hyllmeter och diskussionen verkar långt ifrån avslutad. Frågan kräver dock tydliga avgränsningar för att kunna behandlas i denna relativt korta uppsats. Därför kommer jag fokusera på en perikop i ett av Paulus brev som behandlar denna fråga. Min frågeställning blir då: Vad menar Paulus med ”lagen” i Rom 3:21-31?

The architectural firm of Pierre and Wright was one of the most important partnerships in Indianapolis during the second quarter of the twentieth century and the firm left a lasting impact on Indianapolis's built environment and physical development. Edward Dienhart Pierre (May 22, 1890-March 27, 1971) and George Caleb Wright (April 25, 1889-February 27, 1973) merged their talents in August 1925. This partnership resulted in a series of substantial commissions which allowed Pierre and Wright to take leadership roles in the Indianapolis construction community. The design contributions of Pierre and Wright to Indiana, particularly to Indianapolis, are significant because of the wide variety of architectural styles in which they worked, the high quality of construction, and the number of structures which remain. The partnership ended in 1944 and both men continued their architectural careers in Indianapolis. Pierre and Wright worked throughout their lives to enhance their profession and their community. The most obvious evidence of their professional work is the many buildings they designed, but more important is the impact Pierre and Wright had on the design and construction professions in Indiana and the country. Examples of their influence include their work for standardized building codes, development of professional ethics and forums for professional networking, and advocacy of comprehensive urban or metropolitan planning. / Department of Architecture

The purpose of the study was to trace the route of William Wright Anderson who traveled overland to Oregon from St. Joseph, Missouri in 1848 and then on to California in 1849. It was to be determined what guidebook(s) and/or map(s) he used on his journey. The identification of places, individuals, terms, and events while on the journey and while in Oregon and California were to be included in the study.The diary and memoirs were purposely to be kept as nearly as possible to their original state as not to lose the historical value and flavor of the manuscript. However, a minimal amount of editing was necessary to insure clarity.Findings1. It was determined that Anderson used Joel Palmer's guidebook Palmer's Journal of Travels Over the Rocky Mountains, 1845-1846, while on the Oregon Trail.2. Numerous geographical features and places were identified on the Oregon Trail, in Oregon, on the overland trail from Oregon to California, and in California.3. Numerous pioneers and contemporaries with who Anderson came in contact were identified. These included, most notably, Joe Meek, Antoine Reynal, Jr., Thomas "Peg-Leg" Smith, Philip Foster, Henderson Luelling, Alanson Beers, and Elisha, John, and Charles Packwood. 4. Various terms no longer in use were identified as to their meaning. Examples included were: “deadening," "thimble-rigging," "clever," and "hewer."5. Anderson was directly involved in several historical events which included: the meeting of Oregon representative Joe Meek on Meek's trip to Washington, D.C., the meeting of the soldiers searching for the murders of Marcus and Narcissa Whitman, the manufacture of the famous "Beaver Money" in Oregon, the growth of Coloma, California after the gold discovery, and the rise and decline of the California gold mining operations.ConclusionThe Anderson manuscript is of great historical value because the timing and extent of his travels coincided with many historical events. The work is a historical treasure for scholars studying Oregon or California history of the period.

A close textual analysis of the films of Basil Wright between 1931 and 1938. This work will give a fresh perspective on the working methods of one of the senior members of the British Documentary Movement. It will also discuss the influence exerted by the leader of this group John Grierson. Seven films will be looked at in detail beginning with The Country Comes to the Town and concluding with Face of Scotland. In these detailed analyses we will discuss how the ideological thinking of the group found expression through Wright The purpose of studying an individual is to judge what measure of freedom individual members of the unit were permitted. In seven chapters we will chart the growth of the movement from Gnerson's Dnfters in 1929 to Wright's Face of Scotland in 1938. During the period the Movement went through changes in direction which had a direct bearing on the style of Wright's work. In order to understand these changes we shall chart Wright's development from cutter in late 1929 to senior member in the late thirties. Each chapter will begin with socio-historical data on the subject Wnght was filming. Also included in this section is material on key personnel and details of shooting. This is followed with a close analysis of the form and meaning of Wright's style. In the conclusions we will discuss Gnerson's reaction to the films in question as well as giving further political and historical data. The purpose of this thesis is to re-evaluate Wright's early work and to judge how much it is a reflection of the middle-opinion group whose ideas on social policy find expression in some of the films.